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Finding the Fourth Proportional to 142,466.30, 213,718.65 and 49,000.70

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Solution

The fourth proportional to 142,466.30, 213,718.65 and 49,000.70 is: 73,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466.30 : 213,718.65 = 49,000.70 : x
  2. Step 2: Convert to fraction form
    142,466.30/213,718.65 = 49,000.70/x
  3. Step 3: Cross multiply
    142,466.30x = 213,718.65 × 49,000.70
  4. Step 4: Simplify right side
    142,466.30x = 10,472,363,453.06
  5. Step 5: Solve for x
    x = 10,472,363,453.06/142,466.30
  6. Step 6: Final answer
    x = 73,507.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.